Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. a. If f is continuous on [0, co), and , f(x) dx is convergent, then S, f(x)dx is convergent. 5 b. (x2-4) B can be put in the form A + x(x2+4) by partial fraction decomposition. 5 X x2+4 c. If S f(x) dx and f g(x) dx are both divergent, then S If (x) + g(x)]dx is also divergent. Explain giving examples of f(x) and g(x). 5